Question
Ice Cream Flavor Preference by Gender Men Women Marginal Row Totals Vanilla 15 10 25 Chocolate 30 5 35 Marginal Column Totals 45 15 60(Grand
Ice Cream Flavor Preference by Gender
Men
Women
Marginal Row Totals
Vanilla
15
10
25
Chocolate
30
5
35
Marginal Column Totals
45
15
60(Grand Total)
The chi-square statistic is 5.143. Thep-value is .0233. This result is significant atp< .05.
#1. The chart above shows male and female preferences for vanilla vs. chocolate ice cream among men and women.
- What percent of men prefer chocolate over vanilla? ________
- What percent of women prefer chocolate over vanilla? ________
- Report the results of the statistical test in plain language:
#2. The calculator at this link will allow you to perform a one-way chi-square or "goodness of fit test":
http://vassarstats.net/csfit.html
Fifty students can choose between four different professors to take Introductory Statistics. The number choosing each professor is shown below. Use the calculator above to test the null hypothesis that there is no preference for professors -- that there is an equal chance of choosing each of them. Report your results including chi-square, degrees of freedom, p-value and your interpretation. Use an alpha level of .05. Be careful not to over interpret - state only what the test result tells you.
Professor
N
Dr. Able
20
Dr. Baker
8
Dr. Chavez
14
Dr. Davis
8
#3. Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.
_____ Friedman test
_____ Kruskal-Wallis H test
_____ Mann-Whitney U test
_____ Wilcoxon Signed-Ranks T test
A: Paired-sample t-test
B: Independent-sample t-test
C: One-way ANOVA, independent samples
D: One-way ANOVA, repeated measures
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